Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions

Polymeric emulsions are well characterized by the knowledge of their particle size distributions (PSD). Elastic-light-scattering (ELS) measurements can be inverted to estimate the PSD in the range from 50 nm up to several micrometers. The relative refractive index of the particles is required in com...

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Autor principal: Frontini, G.L
Otros Autores: Fernández Berdaguer, E.M
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2003
Acceso en línea:Registro en Scopus
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100 1 |a Frontini, G.L. 
245 1 0 |a Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions 
260 |c 2003 
270 1 0 |m Frontini, G.L.; INTEMA, Univ. Nac. de Mar del Plata, Mar del Plata, Argentina; email: gfrontin@fi.mdp.edu.ar 
506 |2 openaire  |e Política editorial 
504 |a Kerker, M., (1969) The Scattering of Light and Other Electromagnetic Radiation, , Academic Press, New York 
504 |a Glatter, O., Hofer, M., Jorde, C., Eigner, W., Optical sizing of small colloidal particles: An optimized regularization technique (1991) Applied Optics, 30, p. 33 
504 |a Shaw, G.E., Inversion of optival scattering and spectral extinction measurements to recover aerosol size spectra (1979) Appl. Opt., 18, pp. 988-993 
504 |a Glatter, O., Hofer, M., Jorde, C., Eigner, W., Interpretation of elastic light-scattering data in real space (1985) J. of Colloid and Interface Science, 105, p. 577 
504 |a Engl, H.W., Hanke, M., Neubauer, A., (1996) Regularization of Inverse Problems, , Kluwer Academic Publishers, The Netherlands 
504 |a Hansen, P.C., Rank-deficient and discrete Ill-posed problems (1998) Numerical Aspects of Linear Inversion, , Siam, Philadelphia 
504 |a Glatter, O., Siebere, J., Schnablegger, H., A comparative study on different scattering techniques and data evaluation methods for sizing of colloidal systems using light scattering (1991) Part. Part. Syst. Charact., 8, pp. 274-281 
504 |a Provencher, S.W., A constrained regularization method for inverting data represented by linear algebraic or integral equations (1982) Comput. Phys. Commun, 27, pp. 213-227 
504 |a Schnablegger, H., Glatter, O., Simultaneous determination of size distribution and refractive index of colloidal particles from static light-scattering experiments (1993) J. of Colloid and Interface Science, 158, pp. 228-242 
504 |a Jones, M.R., Curry, B.P., Brewster, M.Q., Leong, K.H., Inversion of light-scattering measurements for particle size and optical constants: Theoretical study (1994) Applied Optics, 33, p. 18 
504 |a Mie, G., (1908) Ann. Phys., 25, p. 377 
504 |a Van De Hulst, H.C., (1981) Light Scattering by Small Particles, , Dover Publications, New York 
504 |a Barber, P.W., Hill, S.C., (1998) Light Scattering by Particles: Computational Methods, , World Scientific Pub., Singapore 
504 |a Bohren, C., Huffman, D., (1983) Absorption and Scattering of Light by Small Particles, , John Wiley & Sons, New York, USA 
504 |a Tikhonov, A.N., Arsenin, V., (1977) Solution of Ill-Posed Problems, , Wiley, New York 
504 |a Golub, G.H., Heath, M., Wahba, G., Generalized cross validation as a method for choosing a good parameter (1979) Technometrics, 21, p. 215 
504 |a Neubauer, A., An a posteriori parameter choice for Tikhonov regularization in the presence of modeling error (1988) App. Num. Math., 4, pp. 507-519 
520 3 |a Polymeric emulsions are well characterized by the knowledge of their particle size distributions (PSD). Elastic-light-scattering (ELS) measurements can be inverted to estimate the PSD in the range from 50 nm up to several micrometers. The relative refractive index of the particles is required in computation procedures to obtain the PSD. Small differences in the assumed refractive index may cause significant differences in the resulting PSD. From the scattering data, the refractive index can be determined. In this article we present the corresponding technique. We consider polymeric emulsions where the nonabsorption assumption is reasonable. We propose a methodology based on Tikhonov regularization applied only to the distribution. However, we solve the minimization problem simultaneously with respect to the distribution and the refractive index. To select the regularization parameter, we include the Generalized Cross Validation (GCV) technique. From simulated ELS measurements we show that the problem is solved successfully.  |l eng 
593 |a INTEMA, Univ. Nac. de Mar del Plata, Mar del Plata, Argentina 
593 |a Instituto de Calculo FCEyN, Fac. Ingeniería, Univ. Nac. de Buenos Aires, Buenos Aires, Argentina 
690 1 0 |a ELASTIC LIGHT SCATTERING 
690 1 0 |a GENERALIZED CROSS VALIDATION 
690 1 0 |a TIKHONOV REGULARIZATION 
690 1 0 |a COMPUTER SIMULATION 
690 1 0 |a EMULSIONS 
690 1 0 |a LIGHT ABSORPTION 
690 1 0 |a LIGHT MEASUREMENT 
690 1 0 |a LIGHT SCATTERING 
690 1 0 |a OPTIMIZATION 
690 1 0 |a PARAMETER ESTIMATION 
690 1 0 |a PARTICLE SIZE ANALYSIS 
690 1 0 |a POLYMERS 
690 1 0 |a REFRACTIVE INDEX 
690 1 0 |a ELASTIC LIGHT SCATTERING 
690 1 0 |a GENERALIZED CROSS VALIDATION TECHNIQUE 
690 1 0 |a POLYMERIC EMULSIONS 
690 1 0 |a TIKHONOV REGULARIZATION 
690 1 0 |a INVERSE PROBLEMS 
700 1 |a Fernández Berdaguer, E.M. 
773 0 |d 2003  |g v. 11  |h pp. 329-340  |k n. 4  |p Inverse Probl. Eng.  |x 10682767  |t Inverse Problems in Engineering 
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856 4 0 |u https://hdl.handle.net/20.500.12110/paper_10682767_v11_n4_p329_Frontini  |y Handle 
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